How do you factor $y = x^{3} + 2 x^{2} + x + 2$ $y= x^3+2x^2+x+2$ ?

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Answer 1 · 2016-06-10T17:49:11

$y = (x + 2) (x^{2} + 1)$ $y=(x+2)(x^2+1)$

$y = x^{3} + 2 x^{2} + x + 2 = x^{2} (x + 2) + 1 (x + 2) = (x + 2) (x^{2} + 1)$ $y=x^3+2x^2+x+2=x^2(x+2)+1(x+2) = (x+2)(x^2+1)$ .

How do you factor y=x3+2x2+x+2y= x^3+2x^2+x+2 ?